Adding Rational Numbers, Pre Algebra

Adding Rational Numbers

V. Rational Number Operations: Lecture 1 | 15:04 min

Lecture Description

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Adding Rational Numbers

To add fractions with unlike denominators write equivalent fractions with a like denominator. Then add the numerators, keeping the denominator the same. Remember to simplify!
Any common denominator may be used. You can multiply the denominators of two fractions to find a common denominator. However, using the Least Common Denominator (LCD) may save steps and make it easier to simplify the final answer.
To add rational numbers you can change all numbers to decimals or all numbers to fractions.

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Table of Contents

I. Variables and Algebraic Expressions
	Numerical Expressions	13:41
	Algebraic Expressions	9:11
	Writing Expressions	8:24
	Estimating for Reasonableness	10:20
	Properties of Numbers	12:01
	Distributive Property	9:40
II. Integers and Exponents
	Integers and Absolute Value	11:35
	Adding Integers	10:20
	Subtracting Integers	12:01
	Multiplying Integers	14:28
	Dividing Integers	20:18
	Positive Exponents	20:05
III. Equations and Applications
	Solving Addition Equations	21:47
	Solving Subtraction Equations	19:34
	Solving Multiplication and Division Equations	26:11
	Solving Two-Step Equations	19:10
	Square Roots	12:16
	Pythagorean Theorem	14:49
	Using the Pythagorean Theorem	16:15
IV. Rational Numbers
	Prime Factorization	16:40
	Greatest Common Divisor	14:16
	Equivalent Fractions	11:22
	Equivalent Forms of Rational Numbers	20:47
	Comparing and Ordering Rational Numbers	20:21
V. Rational Number Operations
	Adding Rational Numbers	15:04
	Subtracting Rational Numbers	14:40
	Multiplying Rational Numbers	11:02
	Dividing Rational Numbers	12:08
	Solving Equations by Adding or Subtracting	13:43
	Solving Equations by Multiplying	11:10
	Zero and Negative Exponents	6:41
VI. Rates and Proportions
	Ratios	7:05
	Rates	12:45
	Dimensional Analysis	16:19
	Application of Rates	17:42
	Proportions	14:36
VII. Applications of Percent
	Fractions, Decimals, and Percents	10:13
	Finding a Percent of a Number	8:39
	Percents and Proportions	15:38
	Percent of Change	11:27
	Applications of a Percent	12:55
VIII. Linear Functions and Graphing
	Graphing in the Coordinate Plane	15:13
	Length in the Coordinate Plane	18:36
	Functions	14:29
	Graphing Linear Functions	16:02
	Slope	17:53
	Slope and Direct Variation	13:50
IX. Inequalities
	Writing Inequalities	17:32
	Solving Inequalities by Adding or Subtracting	9:16
	Solving Inequalities by Dividing	12:15
	Solving Inequalities by Multiplying	14:33
	Solving Two-Step Inequalities	14:15
X. Exponents and Equations
	Properties of Exponents	12:07
	Power Rules	11:58
	Exploring Roots	9:39
	Simplifying Algebraic Expressions	12:43
	Solving Multi-Step Equations	18:35
	Solving Equations with Variables on Both Sides	18:50
XI. Test-Taking Strategies
	Test Taking Strategy Part 1	12:55
	Test Taking Strategy Part 2	11:24
	Test Taking Strategy Part 3	11:36
	Test Taking Strategy Part 4	20:13

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Adding Rational Numbers

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Adding Rational Numbers

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